Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 204

Rational Roots (with Lots of Square Roots!)

Find the smallest positive integer $a,$ greater than 1000, such that the equation $$sqrt{a - sqrt{a + x}} = x$$ has a rational root. Squaring both sides we...

Asked on 09/16/2020 by Fleccerd

1 answer

Proving Graph Theory Question

I am not able to come up with a proof regarding this statement - Consider G be a connected planar graph. If G is not bipartite, then any planar embedding...

Asked on 09/15/2020 by Maddy

1 answer

How to say a variable is invertible in Macaulay2?

I'm a very beginner in Macaulay2, so I apologize if this question is too trivial... I'm using Macaulay2 for a computation involving over $30$ variables. Roughly speaking I have...

Asked on 09/14/2020 by HLEE

1 answer

Given $x, y in mathbb{R}^+$ and $ x^3 + y^3 = x-y$. Prove $x^2 + 4y^2 < 1$

For $x, y in mathbb{R}^+$ , I am given that $ x^3 + y^3 = x-y$. I have to prove that $x^2 + 4y^2 < 1$. Now...

Asked on 09/14/2020 by user9026

1 answer

Is a relation that is purely reflexive also symmetric?

Is a relation that is pruely reflexive also symmetric? For example, say you have a relation defined as $R = {(a,a),(b,b)}$. This is purely reflexive, but is it also...

Asked on 09/13/2020 by Paul J

1 answer

$3^{123} mod 100$

The Question:Evaluate $3^{123}mod 100$My AttemptSo initially I attempted to list the powers of 3 and find a pattern of the last two digits - which,...

Asked on 09/13/2020 by global05

4 answer

Totally order turing machines by halting

Does there exist some computable relation "<" on turing machines, such that the set of machines that halt is an initial segment. (If A and B are Turing machines, and...

Asked on 09/10/2020 by Donald Hobson

1 answer

Show that there is a unique morphism $E_{c}: R[x] rightarrow R^{prime}$ with $E_{c}(r)=r$ for all $r in R$ and $E_{c}(x)=c$

I'm doing Exercise 5 in textbook Algebra by Saunders MacLane and Garrett Birkhoff. If a ring $R$ is not commutative,...

Asked on 09/09/2020 by LAD

1 answer

Implications of an expected value on almost sure convergence

The question I'm trying to solve is shown below - from a practice qualifying exam in probability which has no posted solution (self study). I really don't know where...

Asked on 09/08/2020 by qp212223

1 answer

Density of Tensor Products

Let $X$ and $Y$ be measure spaces. Under what conditions is it true that the space of all finite simple functions of the form $$ sum_{i=1}^N a_i...

Asked on 09/08/2020 by Jacob Denson

0 answer

Ask a Question

Get help from others!

Recent Answers

Peter Machado on Why fry rice before boiling?
Joshua Engel on Why fry rice before boiling?
Jon Church on Why fry rice before boiling?
haakon.io on Why fry rice before boiling?
Lex on Does Google Analytics track 404 page responses as valid page views?

Mathematics : Recent Questions and Answers (Page 204)

Ask a Question